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Finding the Third Proportional to 296,235 and 430,906

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Solution

The third proportional to 296,235 and 430,906 is: 626,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,235 : 430,906 = 430,906 : x
  2. Step 2: Convert to fraction form
    296,235/430,906 = 430,906/x
  3. Step 3: Cross multiply
    296,235x = 430,906 × 430,906
  4. Step 4: Simplify right side
    296,235x = 185,679,980,836
  5. Step 5: Solve for x
    x = 185,679,980,836/296,235
  6. Step 6: Final answer
    x = 626,799.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.